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M2 Tutorials
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M2 Tutorials – MEI A Level Maths
Friction
Friction
What is friction, limiting equilibrium and the coefficient of friction?
Exam Questions - Friction
Equlibrium of a rigid body
Moments
What is the moment of a force?
Horizontal beams in equilibrium resting on supports
Exam Questions - Moments horizontal beams
Tilting beam
Centre of Mass
A System of Particles
Centre of mass of a system of particles in a line
Centre of mass of a system of particles in a plane
Uniform Laminas
Centre of mass of a uniform lamina that has lines of symmetry
Triangular laminas
Sectors and semi-circles
Composite Laminas
Rectangles
Rectangle + triangle
Rectangle + semi-circle
Rectangle with circle removed
Wire Frameworks
Wire framework consisting of a rectangle and triangle
Hanging and Toppling Problems
Freely hanging suspended lamina
Lamina toppling on an inclined plane
Solids
Centre of mass of solids
Work, Energy and Power
Work done by a force acting on a particle
Moving in the horizontal plane with and without friction
Moving in the vertical plane against gravity
Moving up a rough inclined plane against friction and against gravity
Energy
Gravitational potential energy
Kinetic energy
Conservation of mechanical energy / Work-Energy Principle
Conservation of energy / work energy principle
Motion down a smooth plane
Motion down a rough plane
Motion down an undulating slope
Power
Calculating the power developed by an engine
Car accelerating along the horizontal and then up a hill
Momentum and impulse
Momentum and impulse
Collisions and the conservation of linear momentum
Two particles colliding and then separating
Two particles colliding and moving off as one particle
A bullet being fired from a gun
Exam Questions - Momentum
Impulse (Vector form)
Impulse
Exam Questions - Momentum and impulse
Impulse in vector form
Exam Questions - Impulse (vector form)
Newton’s Law of Restitution
Newtons law of restitution (experimental law)
Collision between two particles
Collision with a fixed surface
Exam Questions - Newton's law of restitution
Oblique Impact
Oblique impact with a smooth wall
Frameworks
Frameworks
Frameworks